|
|||||
|
|
Stability Properties of Neighbourly Random Polytopes |
|
| Authors: | Piotr Mankiewicz Nicole Tomczak-Jaegermann |
| Institution: | (1) Institute of Mathematics, PAN, Śniadeckich 8, P.O. Box 21, 00-956 Warsaw 10, Poland;(2) Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, T6G 2G1, Alberta, Canada |
| Abstract: | We introduce a quantitative parameter measuring m-neighbourliness of symmetric convex polytopes in ℝ k . We discuss this parameter for random polytopes generated by subgaussian vectors and show its stability properties. Research of P. Mankiewicz was partially supported by KBN Grant no. 1 P03A 015 27. N. Tomczak-Jaegermann holds the Canada Research Chair in Geometric Analysis. |
| Keywords: | Symmetric random polytopes Subgaussian vectors m-Neighbourly polytopes |
| 本文献已被 SpringerLink 等数据库收录！ | |